derivative y=(f(x))/(g(x))

Lösung

ableitung von

y = \frac{f ( x )}{g ( x )}

\frac{\frac{df}{d x} g ( x ) - \frac{d g}{d x} f ( x )}{g ( x ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{f ( x )}{g ( x )})

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{df}{d x} g ( x ) - \frac{d g}{d x} f ( x )}{g ( x ) ^{2}}

= \frac{\frac{df}{d x} g ( x ) - \frac{d g}{d x} f ( x )}{g ( x ) ^{2}}

\frac{\partial}{\partial y} (x^{2} y + 4 y - 7)

f (x) = (2 x - 3)^{l n (x)}

\int (x^{1.1} + 7 x^{2.5}) d x

x \to 2 lim (3 x^{3} - 1)

\frac{\partial}{\partial t} (tan (t))